Our research active academics are involved in cutting-edge research covering a range of topics including applied analysis, computational mathematics, continuum mechanics and mathematical physics, financial mathematics, operational research and applied statistics. We address problems of real biological or engineering importance and investigate the underlying mathematical and phenomenological processes. There is strong emphasis on the development of innovative analytic, asymptotic, computational and hybrid methods. Our research also focuses on random matrix theory, quantum information theory, mathematical foundations of quantum mechanics, mesoscopic disordered systems, statistical mechanics, graph theory, matroid theory, and infinite dimensional Riemannian geometry, algebraic geometry and orthogonal polynomials. In addition, our department hosts research in the development of probabilistic methodologies and their applications to real-world systems, including laying the mathematical foundations of Machine Learning approaches. Research opportunities for students Brunel Research Festival 2022: 9-31 May Join us and celebrate the impact of our world-leading research Research students are welcomed to Brunel as valued members of our thriving, research-intensive community. Browse PhD opportunities below and find out about the funding available for students. Doctoral research information How to apply for a PhD View list of PhDs in this area Research in Mathematics Find people, projects, groups and publications in Mathematics and read more about related research to this area. Meet our experts Our research strategy Read how we organise and conduct our research Mathematics Research Publications Archive Browse our collection of research outputs including PhD theses Independent assessment of our research quality (REF 2021) View REF 2021 details for Mathematical Sciences (UoA 10) Extreme modelling: statistical research fix for difficult-to-predict situations REF 2021 Centre for Mathematical and Statistical Modelling Established in 2021 the Centre spotlights the transformative role of mathematics and statistics. Centre for Mathematical and Statistical Modelling Established in 2021 the Centre spotlights the transformative role of mathematics and statistics. Research workshops, conferences and seminars Random Matrix Theory Workshops Mathematics of Finite Elements and Applications Conference Research seminars Join us for a series of excellent seminars throughout the year with esteemed speakers from UK and abroad. Doctoral Symposium 2021, 10 - 11 June Join us for 2 days of talks and presentation as we showcase the work of our doctoral researchers Research groups in Mathematics Applied and Numerical Analysis Focused on the analysis of mathematical models of biological, chemical or physical processes. Financial Mathematics and Operational Research Developing advanced mathematical, probabilistic and optimisation approaches to problems in financial mathematics and operational research. Mathematical Physics and Applied Mathematics Innovating analytical methods for problems arising from engineering and physical sciences. Statistics and Data Science Strategic growth area of statistical methods and models for data science. Browse our research projects Extreme modelling: statistical research fix for difficult-to-predict situations REF 2021 Regression models for the analysis of well-being and income distribution Completed Stock price and volatility prediction using news analytics Completed Classifying geometric shapes defined by polynomial equations Completed Measuring of geometric shapes and families of shapes Ongoing Bayesian segmented regression and application Ongoing Pause Courses Mathematical Sciences Integrated PhD Mathematics PhD View all courses Fully-funded studentships Topological invariants of random geometric complexes in the dense limit Classical simulations of quantum systems Reliable profile likelihood ratio tests for statistical models Deep Learning for Inverse Scattering Problems Evaluation of the Turkish Catastrophe Insurance Pool Design of Experiments for Learning from Online Networks The uniform topology of rough Riemannian metrics Our funded studentships become available at different times of the year. Please keep checking our page regularly to see the latest funded opportunities. We also advertise all our funded studentships as soon as they become available on the @BrunelResearch twitter account. View all studentships